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Finding the Fourth Proportional to 6,961.19, 9,606.74 and 3,977.25

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Solution

The fourth proportional to 6,961.19, 9,606.74 and 3,977.25 is: 5,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.19 : 9,606.74 = 3,977.25 : x
  2. Step 2: Convert to fraction form
    6,961.19/9,606.74 = 3,977.25/x
  3. Step 3: Cross multiply
    6,961.19x = 9,606.74 × 3,977.25
  4. Step 4: Simplify right side
    6,961.19x = 38,208,350.75
  5. Step 5: Solve for x
    x = 38,208,350.75/6,961.19
  6. Step 6: Final answer
    x = 5,488.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.